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Finding the Third Proportional to 127,056 and 270,996

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Solution

The third proportional to 127,056 and 270,996 is: 578,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,056 : 270,996 = 270,996 : x
  2. Step 2: Convert to fraction form
    127,056/270,996 = 270,996/x
  3. Step 3: Cross multiply
    127,056x = 270,996 × 270,996
  4. Step 4: Simplify right side
    127,056x = 73,438,832,016
  5. Step 5: Solve for x
    x = 73,438,832,016/127,056
  6. Step 6: Final answer
    x = 578,003.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.